3 years ago

What time factorizations of 2 to the 6th power times 5 to the 6 power

Mathematics

1 answer:

Annette [7]3 years ago

5 0

2 * 2 * 2 * 2 * 2 * 2 = 64
5 * 5 * 5 * 5 * 5 * 5 = 15625
64 * 15625 = 1,000,000

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myrzilka [38]

The formula to find density is Mass/Volume

We have
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Hence
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3 years ago

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Let log_(b)A=3; log_(b)C=2; log_(b)D=5 what is the value of log_(b)((A^(5)C^(2))/(D^(6)))

Colt1911 [192]

Answer:

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Step-by-step explanation:

Given

$\log_bA=3\\ \\\log_bC=2\\ \\\log_bD=5$

Use properties:

$\log_b(A\cdot C)=\log_bA+\log_bC\\ \\\log_b\dfrac{A}{C}=\log_bA-\log_bC\\ \\\log_bA^k=k\log_bA$

Thus,

$\log_b\dfrac{A^5\cdot C^2}{D^6}\\ \\=\log_b(A^5\cdot C^2)-\log_bD^6\\ \\=\log_bA^5+\log_bC^2-\log_bD^6\\ \\=5\log_bA+2\log_bC-6\log_bD\\ \\=5\cdot 3+2\cdot 2-6\cdot 5\\ \\=15+4-30\\ \\=-11$

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14 is the answer sorry if I get it wrong :/

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